We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents.
@article{arxiv.2011.01708,
title = {Chimeras on a social-type network},
author = {Arkady Pikovsky},
journal= {arXiv preprint arXiv:2011.01708},
year = {2020}
}